Students will understand the use of variables in mathematical expressions. They will write expressions that correspond to given situations, evaluate expressions, and use expressions to solve problems. Students will understand that expressions in different forms can be equivalent, and they will use the properties of operations to rewrite expressions in equivalent forms. The Mathematical Practices should be evident throughout instruction and connected to the content addressed in this unit. Students should engage in mathematical tasks that provide an opportunity to connect content and practices.
Big Ideas
Students will read and write expressions.
Students will explore and apply properties as they relate to expressions.
Students will evaluate expressions and determine when two expressions are equivalent.
Essential Questions
How can we represent repeated multiplication with exponents
How can we evaluate expressions containing exponents to solve mathematical and real world problems
How can we translate verbal phrases and situations into algebraic expressions
How can we identify the parts of a given expression
How can we use the properties to identify equivalent expressions
How can we use the properties and mathematical models to generate equivalent expressions
Vocabulary
Algebraic expression: A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
Coefficient: A number multiplied by a variable in an algebraic expression.
Constant: A quantity that does not change its value.
Distributive Property: The sum of two addends multiplied by a number is the sum of the product of each addend and the number.
Exponent: The number of times a number or expression (called base) is used as a factor of repeated multiplication. Also called the power.
Like Terms: Terms in an algebraic expression that have the same variable raised to the same power. Only the coefficients of like terms are different.
Order of Operations: The rules to be followed when simplifying expressions.
Term: A number, a variable, or a product of numbers and variables.
Variable: A letter or symbol used to represent a number or quantities that vary
Content
Variables can be used as unique unknown values or as quantities that vary.
Exponential notation is a way to express repeated products of the same number.
Algebraic expressions may be used to represent and generalize mathematical problems and real life situations
Properties of numbers can be used to simplify and evaluate expressions.
Algebraic properties can be used to create equivalent expressions
Two equivalent expressions form an equation.
Skills Needed
Using parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols.
Write and interpret numerical expressions.
Generating two numerical patterns using two given rules.
Interpret a fraction as division
Operations with whole numbers, fractions, and decimals
Table of Contents
Common Core Learning Standard
Big Ideas
Essential Questions
Vocabulary
Content
Skills Needed
on
Topic
Lessons
Pages
Resources
Arc 1
Reading, Writing,and Properties
of Expressions
CC-6
P175-195
P546-559
P560-572
BrainPop
Distributive Property Game
Distributive Property Video
1-4
1-7
1-8
1-9
3-3
3-8
P136-137
P40
P143-173
6.EE.1
4-2
P136-137
P40
P143-173
P113-116
P117-119
P131-132
Who Wants to Be a Millionaire: Writing Expressions
Learn Zillion Lessons
Arc 2
Evaluate Expressions& Identify Equivalent Exp.
P117-119
P131-132
Order of Operations Game
exponents and variables
4-2
9-6
9-9
9-10
P136-137
P40
P143-173
produce equivalent expressions
CC-6
P175-195
P546-559
P560-572
Unit Assessment
Pre vs Post Assessment Template:
Task added on 12/18/13